Abstract
It is conjectured, with the aid of numerical studies, that the site random tight-binding model with the long-range hopping term (decaying more slowly than any exponential function) exhibits nonexponentially localized eigenstates. For example, if the hopping term decays as exp[−√x], then the eigenfunctions decay as exp[−√x].
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1061-1065 |
| Number of pages | 5 |
| Journal | EPL |
| Volume | 4 |
| Issue number | 9 |
| DOIs | |
| State | Published - Nov 1 1987 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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A conjecture on nonlocal random tight-binding models. / Yeung, Chuck; Oono, Y.
In: EPL, Vol. 4, No. 9, 01.11.1987, p. 1061-1065.Research output: Contribution to journal › Article
TY - JOUR
T1 - A conjecture on nonlocal random tight-binding models
AU - Yeung, Chuck
AU - Oono, Y.
PY - 1987/11/1
Y1 - 1987/11/1
N2 - It is conjectured, with the aid of numerical studies, that the site random tight-binding model with the long-range hopping term (decaying more slowly than any exponential function) exhibits nonexponentially localized eigenstates. For example, if the hopping term decays as exp[−√x], then the eigenfunctions decay as exp[−√x].
AB - It is conjectured, with the aid of numerical studies, that the site random tight-binding model with the long-range hopping term (decaying more slowly than any exponential function) exhibits nonexponentially localized eigenstates. For example, if the hopping term decays as exp[−√x], then the eigenfunctions decay as exp[−√x].
UR - http://www.scopus.com/inward/record.url?scp=84931536772&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84931536772&partnerID=8YFLogxK
U2 - 10.1209/0295-5075/4/9/018
DO - 10.1209/0295-5075/4/9/018
M3 - Article
VL - 4
SP - 1061
EP - 1065
JO - Europhysics Letters
JF - Europhysics Letters
SN - 0295-5075
IS - 9
ER -